A researcher is interested in whether union workers earned significantly higher wages than nonunion workers last year. She interviewed 10 union workers and 20 nonunion workers, and their wages are shown below: sample size sample mean sample SD union 10 20.5 2.0 nonunion 20 15.5 4.0 (Unit used: CAD) Test the null hypothesis of no difference between the wages of union workers and non-union workers. Let X = wages earned of union workers, and Y = wages earned of nonunion workers. Let ux = the population mean wage earned of union workers, and µy = the population mean wage earned of non-union workers. Let X-Bar = the sample mean wage earned of union workers, and Y-Bar = the sample mean wage earned of non-union workers. The observed t value is about O 5.37 O 6.91 O 7.23 O 4.56 O 8.91

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A researcher is interested in whether union workers earned significantly higher wages than nonunion
workers last year. She interviewed 10 union workers and 20 nonunion workers, and their wages are
shown below:
sample size sample mean sample SD
union
10
20.5
2.0
nonunion 20
15.5
4.0
(Unit used: CAD)
Test the null hypothesis of no difference between the wages of union workers and non-union
workers.
Let X = wages earned of union workers, and Y = wages earned of nonunion workers.
Let ux = the population mean wage earned of union workers, and uy = the population mean wage
earned of non-union workers.
Let X-Bar = the sample mean wage earned of union workers, and Y-Bar = the sample mean wage
earned of non-union workers.
The observedt value is about
O 5.37
O 6.91
O 7.23
O 4.56
O 8.91
Transcribed Image Text:A researcher is interested in whether union workers earned significantly higher wages than nonunion workers last year. She interviewed 10 union workers and 20 nonunion workers, and their wages are shown below: sample size sample mean sample SD union 10 20.5 2.0 nonunion 20 15.5 4.0 (Unit used: CAD) Test the null hypothesis of no difference between the wages of union workers and non-union workers. Let X = wages earned of union workers, and Y = wages earned of nonunion workers. Let ux = the population mean wage earned of union workers, and uy = the population mean wage earned of non-union workers. Let X-Bar = the sample mean wage earned of union workers, and Y-Bar = the sample mean wage earned of non-union workers. The observedt value is about O 5.37 O 6.91 O 7.23 O 4.56 O 8.91
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